Online GCD Calculator is useful to find the GCD of 789, 172, 891, 464 quickly. Get the easiest ways to solve the greatest common divisor of 789, 172, 891, 464 i.e 1 in different methods as follows.
Given Input numbers are 789, 172, 891, 464
In the factoring method, we have to find the divisors of all numbers
Divisors of 789 :
The positive integer divisors of 789 that completely divides 789 are.
1, 3, 263, 789
Divisors of 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
GCD of numbers is the greatest common divisor
So, the GCD (789, 172, 891, 464) = 1.
Given numbers are 789, 172, 891, 464
The list of prime factors of all numbers are
Prime factors of 789 are 3 x 263
Prime factors of 172 are 2 x 2 x 43
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 789, 172, 891, 464
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(789, 172) = 135708
GCD(789, 172) = ( 789 x 172 ) / 135708
= 789 / 172
= 789
Step2:
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
= 1 / 891
= 1
Step3:
LCM(1, 464) = 464
GCD(1, 464) = ( 1 x 464 ) / 464
= 1 / 464
= 1
So, Greatest Common Divisor of 789, 172, 891, 464 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 789, 172, 891, 464
The greatest common divisor of numbers 789, 172, 891, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 172, 891, 464 is 1.
1. What is the GCD of 789, 172, 891, 464?
GCD of given numbers 789, 172, 891, 464 is 1
2. How to calculate the greatest common divisor of 789, 172, 891, 464?
We can find the highest common divisor of 789, 172, 891, 464 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 789, 172, 891, 464 i.e 1.
3. How can I use the GCD of 789, 172, 891, 464Calculator?
Out the numbers 789, 172, 891, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.